Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300l |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-102093750000 = -1 · 24 · 33 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2658,-54063] |
[a1,a2,a3,a4,a6] |
Generators |
[62:125:1] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
4.9325121307841 |
L(r)(E,1)/r! |
Ω |
0.33149330192575 |
Real period |
R |
1.2399727993821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900ca1 7260o1 36300o1 |
Quadratic twists by: -3 5 -11 |